Motion of a Single Hole in a Disordered Magnetic Background

TL;DR

This paper investigates how a single hole's spectrum in a disordered magnetic background changes with magnetic order, revealing polarization effects and spectrum qualitative shifts, relevant to doped copper oxide planes.

Contribution

It introduces a variational method to calculate the spectrum of a single hole in any rotational invariant magnetic background, highlighting the impact of magnetic order on spectral properties.

Findings

Spectrum changes qualitatively from disordered to ordered states

Spin pattern around the hole is polarized

Relevance to copper oxide plane doping

Abstract

The spectrum of a single hole is calculated within the spin-hole model using a variational method. This calculation is done for any rotational invariant magnetic background. We have found that when the magnetic background changes from a disordered to a locally ordered state, the spectrum changes qualitatively. We have also found that the spin pattern around the hole is polarized. This problem is related to the study of copper oxide planes $CuO_2$ doped with a small number of holes.